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Quantum Electronics and Laser Science Conference

Anomalous diffraction by cold atoms

Frank Strauch, D. Haubrich, Harald Schadwinkel, Dieter Meschede

Published May 22, 1995• 0 citations
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Physical Review A•Jun 29, 2006•1 citation
Researchers develop a new theory to characterize anomalous spatial diffusion of an ensemble of cold 87{}^{87}87Rb atoms and single 24{}^{24}24Mg+{}^{+}+ ions in optical lattices. The theory shows how a transition from regular to anomalous diffusion, with a continuous range of anomalous scaling, is obtained with the tuning of the laser intensity.
When cold atoms approach a periodically magnetized surface, they are scattered by the effective repulsive potential $U(x,y)={\ensuremath{\mu}}_{B}{m}_{F}gB(x,y)$. If the period aaa of the magnetized surface is larger than the de Broglie wavelength $\ensuremath{\lambda}$ of the atoms, the atoms are diffracted. We have developed a method for calculating the location and intensity of the diffraction peaks using formal scattering theory. We solve the exact two-dimensional Schr\"odinger equation with the finite element method and calculate the scattering amplitude $f(\ensuremath{\phi})$ using the integral formula; a plot of $\ensuremath{\mid}f(\ensuremath{\phi}){\ensuremath{\mid}}^{2}$ provides a visualization of the diffraction pattern. By varying the experimental parameters within a realistic range, we predict the optimal conditions for observing atom diffraction.